Question

find the complete primitive and singular solution of the differential equation 3y = 2px -2p^2/x​

Answer 1

Answer:

3y = 2 p x - 2p ^ 2 / x

3yx = 2px - 2 p ^ 2

3yx = 2px ^ 2 - 2p^ 2

2px ^2 - 2p^2 = 3yx

2px ^2 - 2p^ 2 - 3yx = 0

- 2 p ^2 + 2x^2 p - 3xy = 0